We describe the ideas employed in the first special-purpose Wolff clus
ter algorithm computer able to simulate three-dimensional (3D) Ising m
odels. The computer is fast enough to generate accurate data for latti
ces containing more than 16 million spins, at and near the Ising criti
cal point. We have used this computer to obtain test results for the 2
D and 3D Ising models at criticality. These are in an excellent agreem
ent with exact results and with independent simulations in software. (
C) 1995 American Institute of Physics.